English

Alexandrov-Fenchel type inequalities in the sphere

Differential Geometry 2021-01-26 v1

Abstract

In this paper, we attempt to use two types of flows to study the relations between quermassintegrals Ak\mathcal{A}_k (see Definition 1.1), which correspond to the Alexandrov-Fenchel inequalities for closed convex C2C^2-hypersurfaces in S+n+1.\mathbb{S}_+^{n+1}.

Cite

@article{arxiv.2101.09419,
  title  = {Alexandrov-Fenchel type inequalities in the sphere},
  author = {Min Chen and Jun Sun},
  journal= {arXiv preprint arXiv:2101.09419},
  year   = {2021}
}